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If OP = 14, SQ = 7, and QR = 24, find OR

If OP = 14, SQ = 7, and QR = 24, find OR-example-1

1 Answer

6 votes

\begin{gathered} SR=\sqrt[]{QR^2+SQ^2} \\ SR=\sqrt[]{24^2+7^2} \\ SR=\sqrt[]{625} \\ SR=25 \end{gathered}

Therefore:


(OP)/(SQ)=(OR)/(SR)
\begin{gathered} (14)/(7)=(OR)/(25) \\ so\colon \\ OR=25\cdot2 \\ OR=50 \end{gathered}

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